Question

This equation shows how the amount of jelly Austin has left is related to the number of sandwiches he makes.

j = –6s + 8

The variable s represents the number of sandwiches he makes, and the variable j represents the amount of jelly remaining. Up to how many sandwiches can Austin make and still have 2 ounces of jelly left?

Answer 1

1

Explanation:

The amount of jelly Austin has left should be at least 2 oz.

`-6s+8 \ge 2 \\ -6s \ge -6`

Divide by -6 remembering to flip the inequality sign -- you're dividing by a negative number!

`s \le 1`

Austin can make up to 1 sandwich.

Answer 2

Austin can only make 1 sandwich.

Explanation:

If you plug 1 in for s and add 8, you get j=2. Anything more than 1 for s -- so any more than 1 sandwich -- would be less than 2 ounces of jelly remaining.